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Finding the Fourth Proportional to 189,065.89, 260,910.97 and 103,024.89

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Solution

The fourth proportional to 189,065.89, 260,910.97 and 103,024.89 is: 142,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,065.89 : 260,910.97 = 103,024.89 : x
  2. Step 2: Convert to fraction form
    189,065.89/260,910.97 = 103,024.89/x
  3. Step 3: Cross multiply
    189,065.89x = 260,910.97 × 103,024.89
  4. Step 4: Simplify right side
    189,065.89x = 26,880,323,726.48
  5. Step 5: Solve for x
    x = 26,880,323,726.48/189,065.89
  6. Step 6: Final answer
    x = 142,174.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.